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Finding the Fourth Proportional to 421,657.76, 581,892.30 and 230,667.05

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Solution

The fourth proportional to 421,657.76, 581,892.30 and 230,667.05 is: 318,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,657.76 : 581,892.30 = 230,667.05 : x
  2. Step 2: Convert to fraction form
    421,657.76/581,892.30 = 230,667.05/x
  3. Step 3: Cross multiply
    421,657.76x = 581,892.30 × 230,667.05
  4. Step 4: Simplify right side
    421,657.76x = 134,223,381,713.45
  5. Step 5: Solve for x
    x = 134,223,381,713.45/421,657.76
  6. Step 6: Final answer
    x = 318,323.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.